Abstract: Method for iterative multi-stage adaptive filtering of angle modulated passband and baseband signals based on varying of current value of instantaneous frequency to reach powerful noise canceling, by means of calculation and estimation of current value of instantaneous frequency by using demodulation and reversed modulation calculation process to estimate and calculate the current value of the said estimated instantaneous frequency, and applying narrower sub-bandwidth adaptive filtering, which follows in real-time after the said estimated instantaneous frequency, where the said instantaneous frequency is the central filtering frequency of the said sub-bandwidth filter.